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Finding the Fourth Proportional to 470,532.97, 705,402.60 and 204,092.78

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Solution

The fourth proportional to 470,532.97, 705,402.60 and 204,092.78 is: 305,967.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,532.97 : 705,402.60 = 204,092.78 : x
  2. Step 2: Convert to fraction form
    470,532.97/705,402.60 = 204,092.78/x
  3. Step 3: Cross multiply
    470,532.97x = 705,402.60 × 204,092.78
  4. Step 4: Simplify right side
    470,532.97x = 143,967,577,653.23
  5. Step 5: Solve for x
    x = 143,967,577,653.23/470,532.97
  6. Step 6: Final answer
    x = 305,967.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.